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Suppose a zero-mean Gaussian random process,X(t) , has a PSD given by
We desire to simulate a 5-ms segment of this process sampled at a rate of 2 kHz. Therefore, 10 samples will need to be created in our simulation. We will create the samples of the process by first generating 10 uncorrelated Gaussian random variables and then pass those variables through an appropriate transformation matrix, .
(a) Find the correlation matrix of the 10 samples.
(b) Find the form of the matrix that will produce samples with the desired correlation matrix.
X is 10-dimensional Gaussian (0,I) random vector. Since X is zero mean, RX = CX = I. We will use the method of Problem 7.3.7 and estimate RX using the sample correlation matrix
A standard I.Q. test produces normally distributed results with a mean of 100 and a standard deviation of 15. If an average I.Q. is defined to be any I.Q. between 90 and 109, find the probability of randomly selecting an I.Q. which is average.
At the .05 level, you are testing whether there is a significant difference in the proportions of college students and similar aged non college students having accidents during the two year period. If you determine not to reject the null hypothesi..
proper diameter of a rod is between 24 and 26mm control limits production process has a mean diameter of 25mm and a
One set of 12 pairs of scores, X and Y values, produces a correlation of r = 0.90. If SSy = 200, find the standard error of estimate for the regression line.
fitting of simple linear regression equation.given the student population for a school district over the past few years
Give details on following items that have shaped the modern IRB (Institutional Review Board). Then compare and contract the directives analyzing how each is important to the IRB ethic directives. One page to each of the three directives:
Let Z be a standard normal random variable. Use the calculator provided to determine the value of c such that
Find the probability that a randomly selected student takes neither AP course. (Show work and write the answer in simplest fraction form)
A sample of 148 of our statistics students rated their level of admiration for Hilary Rodham Clinton on a scale of 1 to 7. The mean rating was 4.06 and the standard deviation was 1.70.
The CEO of the business has nothing better to do wheras measured the temperatures of 26 department managers 1 to 4 times every day to get a total of 123 measurements.
How many students must we sample if we want to be within 4% of the true proportion of female students at DeVry University when using a 95% confidence interval?
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